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Finding the Fourth Proportional to 707.92, 976.78 and 413.02

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Solution

The fourth proportional to 707.92, 976.78 and 413.02 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.92 : 976.78 = 413.02 : x
  2. Step 2: Convert to fraction form
    707.92/976.78 = 413.02/x
  3. Step 3: Cross multiply
    707.92x = 976.78 × 413.02
  4. Step 4: Simplify right side
    707.92x = 403,429.68
  5. Step 5: Solve for x
    x = 403,429.68/707.92
  6. Step 6: Final answer
    x = 569.88

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